Morphogenesis And Pattern Formation In Biological Systems
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Morphogenesis and Pattern Formation in Biological Systems by T. Sekimura,S. Noji,N. Ueno,Philip Maini Pdf
A central goal of biology is to decode the mechanisms that underlie the processes of morphogenesis and pattern formation. Concerned with the analysis of those phenomena, this book integrates experimental and theoretical aspects of biology for the construction and investigation of models of complex processes. It offers an interdisciplinary approach to the pattern formation problems and provides a scope of forthcoming integrated biology including experiments and theories.
Pattern Formation in Morphogenesis by Vincenzo Capasso,Misha Gromov,Annick Harel-Bellan,Nadya Morozova,Linda Louise Pritchard Pdf
Pattern Formation in Morphogenesis is a rich source of interesting and challenging mathematical problems. The volume aims at showing how a combination of new discoveries in developmental biology and associated modelling and computational techniques has stimulated or may stimulate relevant advances in the field. Finally it aims at facilitating the process of unfolding a mutual recognition between Biologists and Mathematicians of their complementary skills, to the point where the resulting synergy generates new and novel discoveries. It offers an interdisciplinary interaction space between biologists from embryology, genetics and molecular biology who present their own work in the perspective of the advancement of their specific fields, and mathematicians who propose solutions based on the knowledge grasped from biologists.
What are the relations between the shape of a system of cities and that of fish school? Which events should happen in a cell in order that it participates to one of the finger of our hands? How to interpret the shape of a sand dune? This collective book written for the non-specialist addresses these questions and more generally, the fundamental issue of the emergence of forms and patterns in physical and living systems. It is a single book gathering the different aspects of morphogenesis and approaches developed in different disciplines on shape and pattern formation. Relying on the seminal works of D’Arcy Thompson, Alan Turing and René Thom, it confronts major examples like plant growth and shape, intra-cellular organization, evolution of living forms or motifs generated by crystals. A book essential to understand universal principles at work in the shapes and patterns surrounding us but also to avoid spurious analogies.
Cellular Automaton Modeling of Biological Pattern Formation by Andreas Deutsch,Sabine Dormann Pdf
This book focuses on a challenging application field of cellular automata: pattern formation in biological systems, such as the growth of microorganisms, dynamics of cellular tissue and tumors, and formation of pigment cell patterns. These phenomena, resulting from complex cellular interactions, cannot be deduced solely from experimental analysis, but can be more easily examined using mathematical models, in particular, cellular automaton models. While there are various books treating cellular automaton modeling, this interdisciplinary work is the first one covering biological applications. The book is aimed at researchers, practitioners, and students in applied mathematics, mathematical biology, computational physics, bioengineering, and computer science interested in a cellular automaton approach to biological modeling.
Pattern Formation in Biology, Vision and Dynamics by Alessandra Carbone,Mikhael Gromov,Przemyslaw Prusinkiewicz Pdf
Half a billion years of evolution have turned the eye into an unbelievable pattern detector. Everything we perceive comes in delightful multicolored forms. Now, in the age of science, we want to comprehend what and why we see. Two dozen outstanding biologists, chemists, physicists, psychologists, computer scientists and mathematicians met at the Institut d'Hautes Etudes Scientifiques in Bures-sur-Yvette, France. They expounded their views on the physical, biological and physiological mechanisms creating the tapestry of patterns we see in molecules, plants, insects, seashells, and even the human brain. This volume comprises surveys of different aspects of pattern formation and recognition, and is aimed at the scientifically minded reader.
Mathematical Aspects of Pattern Formation in Biological Systems by Juncheng Wei,Matthias Winter Pdf
This monograph is concerned with the mathematical analysis of patterns which are encountered in biological systems. It summarises, expands and relates results obtained in the field during the last fifteen years. It also links the results to biological applications and highlights their relevance to phenomena in nature. Of particular concern are large-amplitude patterns far from equilibrium in biologically relevant models. The approach adopted in the monograph is based on the following paradigms: • Examine the existence of spiky steady states in reaction-diffusion systems and select as observable patterns only the stable ones • Begin by exploring spatially homogeneous two-component activator-inhibitor systems in one or two space dimensions • Extend the studies by considering extra effects or related systems, each motivated by their specific roles in developmental biology, such as spatial inhomogeneities, large reaction rates, altered boundary conditions, saturation terms, convection, many-component systems. Mathematical Aspects of Pattern Formation in Biological Systems will be of interest to graduate students and researchers who are active in reaction-diffusion systems, pattern formation and mathematical biology.
Biological Processes in Living Systems by C. H. Waddington Pdf
Biological Processes in Living Systems is the fourth and final volume of the Toward a Theoretical Biology series. It contains essays that deal in detail with particular biological processes: morphogenesis of pattern, the development of neuronal networks, evolutionary processes, and others. The main thrust of this volume brings relevance to the general underlying nature of living systems. Faced with trying to understand how the complexity of molecular microstates leads to the relative simplicity of phenome structures, Waddington-on behalf of his colleagues-stresses on the structure of language as a paradigm for a theory of general biology. This is language in an imperative mood: a set of symbols, organized by some form of generative grammar, making possible the conveyance of commands for action to produce effects on the surroundings of the emitting and the receiving entities. "Biology," he writes, "is concerned with algorithm and program." Among the contributions in this volume are: "The Riemann-Hugoniot Catastrophe and van der Waals Equation," David H. Fowler; "Differential Equations for the Heartbeat and Nerve Impulse," E. Christopher Zeeman; "Structuralism and Biology," Rene Thom; "The Concept of Positional Information and Pattern Formation," Lewis Wolpert; "Pattern Formation in Fibroblast Cultures," Tom Elsdale; "Form and Information," C. H. Waddington; "Organizational Principles for Theoretical Neurophysiology," Michael A. Arbib; "Stochastic Models of Neuroelectric Activity," Jack D. Cowan. Biological Processes in Living Systems is a pioneering volume by recognized leaders in an ever-growing field.
Modelling the Dynamics of Biological Systems by Erik Mosekilde,Ole G. Mouritsen Pdf
The development of a proper description of the living world today stands as one of the most significant challenges to physics. A variety of new experimental techniques in molecular biology, microbiol ogy, physiology and other fields of biological research constantly expand our knowledge and enable us to make increasingly more detailed functional and structural descriptions. Over the past decades, the amount and complexity of available information have multiplied dramatically, while at the same time our basic understanding of the nature of regulation, behavior, morphogenesis and evolution in the living world has made only modest progress. A key obstacle is clearly the proper handling of the available data. This requires a stronger emphasis on mathematical modeling through which the consistency of the adopted explanations can be checked, and general princi ples may be extracted. As an even more serious problem, however, it appears that the proper physical concepts for the development of a theoretically oriented biology have not hitherto been available. Classical mechanics and equilibrium thermody namics, for instance, are inappropriate and useless in some of the most essen tial biological contexts. Fortunately, there is now convincing evidence that the concepts and methods of the newly developed fields of nonlinear dynam ics and complex systems theory, combined with irreversible thermodynamics and far-from-equilibrium statistical mechanics will enable us to move ahead with many of these problems.
Author : Hans G. Othmer,Philip K. Maini,James D. Murray Publisher : Springer Science & Business Media Page : 384 pages File Size : 49,9 Mb Release : 2012-12-06 Category : Science ISBN : 9781461524335
Experimental and Theoretical Advances in Biological Pattern Formation by Hans G. Othmer,Philip K. Maini,James D. Murray Pdf
This volume contains the proceedings of the NATO ARW on 'Biological Pattern Formation' held at Merton College, University of Oxford, on 27-31 August, 1992. The objective of the workshop was to bring together a select group of theoreticians and experimental biologists to present the latest results in the area of biological pattern formation and to foster interactiqn across dis- plines. The workshop was divided into 5 main areas: (i) limb development, (ii) Dictyostelium discoideum, (iii) Drosophila, (iv) cell movement, (v) g- eral pattern formation. We thank all the participants for their contributions, enthusiasm, and willingness to collaborate. There was a genuine, open, and extremely fru- ful interaction between the experimentalists and theoreticians which made the workshop a success. We also thank The Welcome Trust for providing additional funding. The local organization fell mainly on Denise McKittrick and Beverley Bhaskhare at the Mathematical Institute, Oxford, and Jeanette Hudson and the staff of Merton College. We greatly appreciate their help and patience. We also thank Jonathan Sherratt, Wendy Brandts and Debbie Benson for helping out in the conference and for providing a happy welcome to parti- pants on a typically cold, wet and windy English summer day.
Pattern Formation In The Physical And Biological Sciences by H. Frederick Nijhout Pdf
This Lecture Notes Volume represents the first time any of the summer school lectures have been collected and published on a discrete subject rather than grouping all of a season's lectures together. This volume provides a broad survey of current thought on the problem of pattern formation. Spanning six years of summer school lectures, it includes articles which examine the origin and evolution of spatial patterns in physio-chemical and biological systems from a great diversity of theoretical and mechanistic perspectives. In addition, most of these pieces have been updated by their authors and three articles never previously published have been added.
Morphogenesis and Evolution by Keith Stewart Thomson Pdf
1. Introduction. 2. Theory, Reduction, and Hierarchy. 3. Development: Pattern and Process. 4. Early Pattern Formation. 5. Example: Early Pattern Formation in Amphibia. 6. Later Pattern Formation: Morphogenesis. 7. Some General Properties of Morphogenetic Systems. 8. Patterns of Evolution. 9. Morphogenesis and Evolution.
Growth Patterns in Physical Sciences and Biology by Jaun-Manuel Garcia-Ruiz,Enrique Louis,P. Meakin,Leonard M. Sander Pdf
During the past decade interest in the formation of complex disorderly patterns far from equilibrium has grown rapidly. This interest has been stim ulated by the development of new approaches (based primarily on fractal geometry) to the quantitative description of complex structures, increased understanding of non-linear phenomena and the introduction of a variety of models (such as the diffusion-limited aggregation model) that provide paradigms for non-equilibrium growth phenomena. Advances in computer technology have played a crucial role in both the experimental and theoret ical aspects of this enterprise. Substantial progress has been made towards the development of comprehensive understanding of non-equilibrium growth phenomena but most of our current understanding is based on simple com puter models. Pattern formation processes are important in almost all areas of science and technology, and, clearly, pattern growth pervades biology. Very often remarkably similar patterns are found in quite diverse systems. In some case (dielectric breakdown, electrodeposition, fluid-fluid displacement in porous media, dissolution patterns and random dendritic growth for example) the underlying causes of this similarity is quite well understood. In other cases (vascular trees, nerve cells and river networks for example) we do not yet know if a fundamental relationship exists between the mechanisms leading the formation of these structures.